Find the volume of a right circular cone that has a height of 2.4 in and a base with a radius of 10.6 in. Round your answer to the nearest tenth of a cubic inch.

282.4 in^3

Step-by-step explanation:π

The volume of a cone is represented by the equation where r is the radius of the base and h is the height. Substituting in our values for the radius and height we get:

v=1/3π*10.6^2*2.4

v=1/3*2.4*112.36*π

v=0.8*112.36*π

v=89.888*3.14

v=282.4 in^3

step-by-step explanation:

we are given

since, we have to isolate x on anyone side

so, we can move all x terms on one side

subtract both sides by 2x

add both sides by 9

divide both sides by 4

we get

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for